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Finding the Fourth Proportional to 7,090.62, 9,784.59 and 4,106.22

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Solution

The fourth proportional to 7,090.62, 9,784.59 and 4,106.22 is: 5,666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.62 : 9,784.59 = 4,106.22 : x
  2. Step 2: Convert to fraction form
    7,090.62/9,784.59 = 4,106.22/x
  3. Step 3: Cross multiply
    7,090.62x = 9,784.59 × 4,106.22
  4. Step 4: Simplify right side
    7,090.62x = 40,177,679.15
  5. Step 5: Solve for x
    x = 40,177,679.15/7,090.62
  6. Step 6: Final answer
    x = 5,666.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.